Then I commend you for rethinking. By doing so you've demonstrated that 1. The values actually mean something and 2. Even the CEO needs reminding therefore everyone should be able to hold each-other to account.
Depending on how you communicated point 2, you've made it easier for others in the org to be keepers of those values.
I mean, I'm all for that, but let's call things for what they really are.
There can and should be ways to shift cultural control back to employees - but white collar jobs in general are not so prone to unionization (one of the major ways to do so)
That's why these type of "culture statements" are generally only useful in limited contexts and really often just more tools for getting people behind "what the boss wants".